dorsal/arxiv
View SchemaSynchronization and spindle oscillation in noisy integrate-and-fire-or-burst neurons with inhibitory coupling
| Authors | H. Sakaguchi, S. Tobiishi |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0507023 |
| URL | https://arxiv.org/abs/q-bio/0507023 |
| DOI | 10.1143/PTP.114.539 |
Abstract
We propose another integrate-and-fire model as a single neuron model. We study a globally coupled noisy integrate-and-fire model with inhibitory interaction using the Fokker-Planck equation and the Langevin equation, and find a reentrant transition of oscillatory states. Intermittent time evolutions of neuron firing are found in strongly inhibited systems. We propose another integrate-and-fire-or-burst model including the dynamics of the low-threshold Ca$^{2+}$ current based on the new integrate-and-fire model. We study a globally coupled noisy integrate-and-fire-or-burst model with inhibitory interaction using the Fokker-Planck equation, and find bistability of the tonic mode and burst mode. Doubly periodic oscillation appears in a coupled system of two neuron assemblies, which is similar to the spindle oscillation in thalamic cells.
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"date_created": "2026-03-02T18:01:31.347000Z",
"date_modified": "2026-03-02T18:01:31.347000Z",
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"abstract": "We propose another integrate-and-fire model as a single neuron model. We\nstudy a globally coupled noisy integrate-and-fire model with inhibitory\ninteraction using the Fokker-Planck equation and the Langevin equation, and\nfind a reentrant transition of oscillatory states. Intermittent time evolutions\nof neuron firing are found in strongly inhibited systems. We propose another\nintegrate-and-fire-or-burst model including the dynamics of the low-threshold\nCa$^{2+}$ current based on the new integrate-and-fire model. We study a\nglobally coupled noisy integrate-and-fire-or-burst model with inhibitory\ninteraction using the Fokker-Planck equation, and find bistability of the tonic\nmode and burst mode. Doubly periodic oscillation appears in a coupled system of\ntwo neuron assemblies, which is similar to the spindle oscillation in thalamic\ncells.",
"arxiv_id": "q-bio/0507023",
"authors": [
"H. Sakaguchi",
"S. Tobiishi"
],
"categories": [
"q-bio.NC",
"q-bio.QM"
],
"doi": "10.1143/PTP.114.539",
"title": "Synchronization and spindle oscillation in noisy integrate-and-fire-or-burst neurons with inhibitory coupling",
"url": "https://arxiv.org/abs/q-bio/0507023"
},
"schema_id": "dorsal/arxiv",
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